On Darboux Helices in Euclidean 3-Space

On Darboux Helices in Euclidean 3-Space

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Dr. Evren Ziplar

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Ali Senol

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Yusuf Yayli

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Ankara University

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Abstract

In this paper, we introduce a Darboux helix to be a curve in 3-space whose Darboux vector makes a constant angle with a fixed straight line. We completely characterize Darboux helices in terms of and thus prove that the class of Darboux helices coincide with the class of slant helices. In special, if we take = constant, the curves are curve of constant precession.

References

6 Cites in Article

Reference Format

S Izumiya,N Tkeuchi (2004). New special curves and developable surfaces.
L Kula,Y Yayli (2005). On slant helix and its spherical indicatrix.
M Barros (1907). General helices and a theorem Lancert.
P Sco…eld (1995). Curves of constant precession.
S Özkaldi,Yayl¬y (2011). Constant angle surfaces and curves in E 3 :Internat¬onal Electronic.
Ali Şenol,Yusuf Yayli (2009). LC helices in space forms.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Evren Ziplar. 2012. \u201cOn Darboux Helices in Euclidean 3-Space\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F13): .

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GJSFR Volume 12 Issue F13
Pg. 73- 80

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

curves of constant precession darboux vector helices slant helices

Submission ReceivedSeptember 22, 2012
Peer Review Double Blind
Handling Editor
Accepted October 19, 2012
Published November 2, 2012

Version of record

v1.2

Issue date

November 22, 2012

Language

en

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Article Matrices

Total Score: 108

Country: Turkey

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Dr. Evren Ziplar, Ali Senol, Yusuf Yayli (PhD/Dr. count: 1)

View Count (all-time): 129

Total Views (Real + Logic): 5078

Total Downloads (simulated): 2584

Publish Date: 2012 11, Thu

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Total Views: 5078

Total Downloads: 2584

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Published Article

In this paper, we introduce a Darboux helix to be a curve in 3-space whose Darboux vector makes a constant angle with a fixed straight line. We completely characterize Darboux helices in terms of and thus prove that the class of Darboux helices coincide with the class of slant helices. In special, if we take = constant, the curves are curve of constant precession.

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